An efficient FSI coupling strategy between Smoothed Particle Hydrodynamics and Finite Element methods

Abstract An efficient coupling between Smoothed Particle Hydrodynamics (SPH) and Finite Element (FE) methods dedicated to violent fluid–structure interaction (FSI) modeling is proposed in this study. The use of a Lagrangian meshless method for the fluid reduces the complexity of fluid–structure interface handling, especially in presence of complex free surface flows. The paper details the discrete SPH equations and the FSI coupling strategy adopted. Both convergence and robustness of the SPH-FE coupling are performed and discussed. More particularly, the loss and gain in stability is studied according to various coupling parameters, and different coupling algorithms are considered. Investigations are performed on 2D academic and experimental test cases in the order of increasing complexity.

[1]  Martin W. Heinstein,et al.  Coupling of smooth particle hydrodynamics with the finite element method , 1994 .

[2]  Charbel Farhat,et al.  Partitioned procedures for the transient solution of coupled aeroelastic problems , 2001 .

[3]  S. Sherwin,et al.  Comparison of various fluid-structure interaction methods for deformable bodies , 2007 .

[4]  G. Oger,et al.  Two-dimensional SPH simulations of wedge water entries , 2006, J. Comput. Phys..

[5]  C. H. Lu,et al.  COUPLED ANALYSIS OF NONLINEAR INTERACTION BETWEEN FLUID AND STRUCTURE DURING IMPACT , 2000 .

[6]  C. Farhat,et al.  Two efficient staggered algorithms for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems , 2000 .

[7]  Francis Leboeuf,et al.  Coupling of finite volume and finite element subdomains using different time integrators , 2013 .

[8]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method , 1979 .

[9]  Holger Wendland,et al.  Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree , 1995, Adv. Comput. Math..

[10]  Hongfu Qiang,et al.  Coupling of smoothed particle hydrodynamics and finite element method for impact dynamics simulation , 2011 .

[11]  J. Halleux,et al.  An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions , 1982 .

[12]  Jean-Paul Vila,et al.  ON PARTICLE WEIGHTED METHODS AND SMOOTH PARTICLE HYDRODYNAMICS , 1999 .

[13]  A. Colagrossi,et al.  Numerical simulation of interfacial flows by smoothed particle hydrodynamics , 2003 .

[14]  P. Groenenboom,et al.  Hydrodynamics and fluid-structure interaction by coupled SPH-FE method , 2010 .

[15]  Yves-Marie Scolan,et al.  Hydroelastic behaviour of a conical shell impacting on a quiescent-free surface of an incompressible liquid , 2004 .

[16]  David Le Touzé,et al.  On distributed memory MPI-based parallelization of SPH codes in massive HPC context , 2016, Comput. Phys. Commun..

[17]  L. Libersky,et al.  High strain Lagrangian hydrodynamics: a three-dimensional SPH code for dynamic material response , 1993 .

[18]  M Mahé,et al.  Numerical modeling of the impact on water of a flexible structure by explicit finite element method — Comparisons with Radioss numerical results and experiments , 1999 .

[19]  Thomas J. R. Hughes,et al.  Improved numerical dissipation for time integration algorithms in structural dynamics , 1977 .

[20]  Alain Combescure,et al.  Modeling of reinforced concrete through SPH‐FE coupling and its application to the simulation of a projectile's impact onto a slab , 2011 .

[21]  A. Colagrossi,et al.  Nonlinear water wave interaction with floating bodies in SPH , 2013 .

[22]  J. Monaghan,et al.  Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .

[23]  Salvatore Marrone,et al.  A 2D+t SPH model to study the breaking wave pattern generated by fast ships , 2011 .

[24]  Rade Vignjevic,et al.  Coupling between meshless and finite element methods , 2005 .

[25]  C. Antoci,et al.  Numerical simulation of fluid-structure interaction by SPH , 2007 .

[26]  Salvatore Marrone,et al.  SPH accuracy improvement through the combination of a quasi-Lagrangian shifting transport velocity and consistent ALE formalisms , 2016, J. Comput. Phys..

[27]  Jean-Christophe Marongiu,et al.  A non-intrusive partitioned approach to couple smoothed particle hydrodynamics and finite element methods for transient fluid-structure interaction problems with large interface motion , 2015 .

[28]  G. R. Johnson,et al.  Linking of Lagrangian particle methods to standard finite element methods for high velocity impact computations , 1994 .